27807715752 has 64 divisors (see below), whose sum is σ = 71401176000. Its totient is φ = 9019928064.

The previous prime is 27807715739. The next prime is 27807715757. The reversal of 27807715752 is 25751770872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27807715695 and 27807715704.

It is not an unprimeable number, because it can be changed into a prime (27807715757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227524 + ... + 327692.

It is an arithmetic number, because the mean of its divisors is an integer number (1115643375).

Almost surely, 2^27807715752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27807715752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35700588000).

27807715752 is an abundant number, since it is smaller than the sum of its proper divisors (43593460248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27807715752 is a wasteful number, since it uses less digits than its factorization.

27807715752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100490 (or 100486 counting only the distinct ones).

The product of its (nonzero) digits is 1920800, while the sum is 51.

The spelling of 27807715752 in words is "twenty-seven billion, eight hundred seven million, seven hundred fifteen thousand, seven hundred fifty-two".